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arXiv:2004.06115 · SciPost Physics

Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory

Nathan Seiberg B, Shu-Heng Shao

Published Jan 8, 2021• 105 citations
arXivHTMLPDF

Abstract

Following our earlier analyses of nonstandard continuum quantum field theories, we study here gapped systems in 3+1 dimensions, which exhibit fractonic behavior. In particular, we present three dual field theory descriptions of the low-energy physics of the X-cube model. A key aspect of our constructions is the use of discontinuous fields in the continuum field theory. Spacetime is continuous, but the fields are not.

DOI
10.21468/scipostphys.10.1.003

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